Finite Group Databasebeta

← #11872334

Subgroups — #11872334

Order 1152.

837 conjugacy classes of subgroups.

The subgroup lattice has 767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#10595394C211yesmaximal, characteristic, complemented
2#10594496C211yesmaximal, characteristic, complemented
3#10592495C211yesmaximal, characteristic, complemented
4C3×#4810C211yesmaximal, characteristic, complemented
5C3×#4788C211yesmaximal, characteristic, complemented
6#10591622C211yesmaximal, characteristic, complemented
7#10591586C211yesmaximal, characteristic, complemented
8#10591566C211yesmaximal, characteristic, complemented
9Dic3×D24C211yesmaximal, characteristic, complemented
10#10590749C211yesmaximal, characteristic, complemented
11#10590696C211yesmaximal, characteristic, complemented
12#10590680C211yesmaximal, characteristic, complemented
13#10590474C211yesmaximal, characteristic, complemented
14#10590455C211yesmaximal, characteristic, complemented
15#10590441C211yesmaximal, characteristic, complemented
16#80072—31nomaximal
17#79697—31nomaximal
18C2×C3×#239C2211yescharacteristic
19Q8×C3⋊Dic3C2211yescharacteristic
20#64099C2211yescharacteristic
21C3×Q8×Dic3C2211yescharacteristic
22C2×C3×#215C2211yescharacteristic
23C2×C3×#215C2211yescharacteristic
24C2×C3×D24C2211yescharacteristic
25C3×#895C2211yescharacteristic
26C3×#893C2211yescharacteristic
27#63914C2211yescharacteristic
28#63908—21no—
29#63908C2211yescharacteristic
30#63905—21no—
31#63898—21no—
32#63898C2211yescharacteristic
33Dic3×D12—21no—
34Dic3×D12C2211yescharacteristic
35Dic3×D12C2211yescharacteristic
36#63891—21no—
37D3×C4⋊Dic3—21no—
38D3×C4⋊Dic3C2211yescharacteristic
39#63885—21no—
40#63855—21no—
41#63855C2211yescharacteristic
42C2×#3713C2211yescharacteristic
43C32×#103C2211yescharacteristic
44#63662C2211yescharacteristic
45#63645C2211yescharacteristic
46#63641C2211yescharacteristic
47#63635C2211yescharacteristic
48C3×#821C2211yescharacteristic
49C3×(C2×D3)⋊C8C2211yescharacteristic
50C3×C8×Dic3C2211yescharacteristic
51C3×#809C2211yescharacteristic
52C3×#808C2211yescharacteristic
53#63575C2211yescharacteristic
54#63572C2211yescharacteristic
55#63563C2211yescharacteristic
56#63563C2211yescharacteristic
57#63563C2211yescharacteristic
58#63562C2211yescharacteristic
59(C2×D3)⋊(C3⋊C8)C2211yescharacteristic
60#63554C2211yescharacteristic
61#5827—31no—
62#5619—31no—
63#5574—31no—
64#5562—31no—
65C3×#449—31no—
66C3×C4×SD16—31no—
67#5238—31no—
68#5172—31no—
69#5164—31no—
70#5163—31no—
71#5163—31no—
72#5150—31no—
73Dic3×D8—31no—
74#5034—31no—
75#5026—31no—
76#5014—31no—
77#4871—31no—
78#4863—31no—
79#4810D311yescharacteristic, complemented
80#4796—31no—
81#4796—31no—
82#4796—61no—
83#4788D311yescharacteristic, complemented
84#4786—31no—
85#4785—31no—
86#4774—31no—
87#4766—31no—
88#4736—31no—
89#4720—31no—
90C4×D24—31no—
91#4690—31no—
92C2×C32×Q8C2311yescharacteristic
93C3×#239—22no—
94C3×#239—22no—
95C2×C3×D12—21no—
96C2×C3×D12—21no—
97C2×C3×D12C2311yescharacteristic
98C2×C3×D12C2311yescharacteristic
99C2×C3×D12C2311yescharacteristic
100C2×C3×C4×D3—21no—
101C2×C3×C4×D3—21no—
102C2×C3×C4×D3C2311yescharacteristic
103C2×#625—21no—
104C2×#625—21no—
105C2×#625—21no—
106C2×D3×Dic3—21no—
107C2×D3×Dic3—21no—
108C2×D3×Dic3—21no—
109C2×D3×Dic3—21no—
110C2×C32×C8C2311yescharacteristic
111C32×C4⋊C4C2311yescharacteristic
112C4⋊(C3⋊Dic3)—21no—
113C4⋊(C3⋊Dic3)—21no—
114C4⋊(C3⋊Dic3)C2311yescharacteristic
115C4⋊(C3⋊Dic3)C2311yescharacteristic
116#3750—21no—
117C4×C3⋊Dic3—21no—
118C4×C3⋊Dic3C2311yescharacteristic
119C2×C3⋊(C3⋊C8)C2311yescharacteristic
120C3×#215—22no—
121C3×#215—22no—
122C3×(C2×D3)⋊C4—21no—
123C3×(C2×D3)⋊C4—21no—
124C3×C4⋊Dic3—21no—
125C3×C4⋊Dic3C2311yescharacteristic
126C3×C4×Dic3—21no—
127C3×C4×Dic3C2311yescharacteristic
128C2×C3×C3⋊C8C2311yescharacteristic
129C2×C3×C3⋊C8C2311yescharacteristic
130C3×D24—22no—
131Dic3⋊Dic3—21no—
132Dic3⋊Dic3D411yescharacteristic
133Dic3⋊Dic3D411yescharacteristic
134(C2×D3)⋊Dic3—21no—
135(C2×D3)⋊Dic3—21no—
136(C2×D3)⋊Dic3—21no—
137(C2×D3)⋊Dic3—21no—
138(C2×D3)⋊Dic3D411yescharacteristic
139(C2×D3)⋊Dic3D411yescharacteristic
140#3713—22no—
141#3119—91noSylow
142C2×C3×#41—31no—
143C2×#239C2×D311yescharacteristic
144C2×C3×SD16—31no—
145C2×C3×SD16—31no—
146C2×C3×D8—31no—
147C3×#121—31no—
148C3×C4×Q8—31no—
149C3×C4×D4—31no—
150Q8×Dic3—31no—
151Q8×Dic3—31no—
152Q8×Dic3—61no—
153Q8×Dic3C2×D311yescharacteristic
154C2×#215C2×D311yescharacteristic
155C2×#215C2×D311yescharacteristic
156#940—31no—
157#940—31no—
158#939—61no—
159#938—31no—
160#938—61no—
161D4×Dic3—31no—
162D4×Dic3—31no—
163D4×Dic3—31no—
164D4×Dic3—61no—
165D4×Dic3—61no—
166C2×#213—31no—
167C2×#213—31no—
168#930—31no—
169#930—61no—
170#929—61no—
171#926—31no—
172#926—61no—
173C2×C4⋊Dic3—31no—
174C2×C4⋊Dic3—61no—
175C2×D24C2×D311yescharacteristic
176#895C2×D311yescharacteristic
177#893—31no—
178#893—61no—
179#893C2×D311yescharacteristic
180D3×C4⋊C4—31no—
181D3×C4⋊C4—61no—
182#890—31no—
183#890—31no—
184#890—61no—
185#886—61no—
186#884—61no—
187#883—61no—
188#883—61no—
189C4×D12—31no—
190C4×D12—31no—
191C4×D12—61no—
192#872—31no—
193#872—61no—
194C3×#106—31no—
195C3×#103—21no—
196C3×#103C2×D311yescharacteristic
197C3×#103C2×D311yescharacteristic
198C3×#102—31no—
199C3×#102—31no—
200C3×C22⋊C8—31no—
201C3×C4×C8—31no—
202#835—31no—
203#835—31no—
204#835—61no—
205#832—31no—
206#832—31no—
207#832—31no—
208#832—31no—
209#830—31no—
210#821—31no—
211#821—31no—
212#821—31no—
213#821C2×D311yescharacteristic
214(C2×D3)⋊C8—31no—
215(C2×D3)⋊C8C2×D311yescharacteristic
216#818—31no—
217#818—31no—
218#818—31no—
219#818—61no—
220#815—31no—
221Dic3⋊C8—31no—
222Dic3⋊C8—31no—
223Dic3⋊C8—31no—
224Dic3⋊C8—31no—
225Dic3⋊C8—61no—
226C8×Dic3C2×D311yescharacteristic
227#809—31no—
228#809C2×D311yescharacteristic
229#808—31no—
230#808—31no—
231#808—61no—
232#808C2×D311yescharacteristic
233#807—31no—
234#803—31no—
235C22×C3×D3—21no—
236C22×C3×D3—21no—
237C22×C3×D3—21no—
238C22×C3×D3C2×D411yescharacteristic
239C32×Q8—21no—
240C32×Q8#4112yes—
241C2×C32×C4—21no—
242C2×C32×C4—21no—
243C2×C32×C4C2411yescharacteristic
244C2×C3⋊Dic3—21no—
245C2×C3⋊Dic3—21no—
246C2×C3⋊Dic3C2×D411yescharacteristic
247C2×C3⋊Dic3C2×D411yescharacteristic
248C2×C3×Dic3—21no—
249C2×C3×Dic3C2×D411yescharacteristic
250C2×C3×Dic3C2×D411yescharacteristic
251C2×C3×Dic3C2×D411yescharacteristic
252C3×D12—24no—
253C3×D12—21no—
254C3×D12—21no—
255C3×D12—21no—
256C3×D12—21no—
257C3×D12—21no—
258C3×D12—81no—
259C3×D12#4112yes—
260C3×C4×D3—24no—
261C3×C4×D3—21no—
262C3×C4×D3—21no—
263C3×C4×D3—81no—
264#625—81no—
265#625—81no—
266#625—81no—
267D3×Dic3—81no—
268D3×Dic3—81no—
269D3×Dic3—81no—
270D3×Dic3—81no—
271C32×C8—21no—
272C3⋊(C3⋊C8)—21no—
273C3×C3⋊C8—21no—
274C3×C3⋊C8—21no—
275#540—91no—
276#520—91no—
277#481—91no—
278#480—91no—
279#479—91no—
280#478—91no—
281#460—91no—
282#459—91no—
283#449—31no—
284#449—91no—
285#442—91no—
286#440—91no—
287C4×SD16—31no—
288C4×D8—91no—
289#433—91no—
290C3×#41—62no—
291C3×#41—62no—
292C2×C3×Q8—21no—
293C2×C3×Q8C22×D311yescharacteristic
294C2×C3×Q8C22×D311yescharacteristic
295C2×C3×D4—31no—
296C2×C3×D4—31no—
297C2×C3×D4—31no—
298C2×C3×D4—61no—
299C2×C3×D4—61no—
300C22×C3×C4—31no—
301C22×C3×C4—61no—
302C22×C3×C4—61no—
303C2×#67—61no—
304C2×#67—61no—
305C2×#67—61no—
306C2×#67—61no—
307C2×#67—61no—
308C2×#67—61no—
309C22×Dic3—61no—
310C22×Dic3—61no—
311C22×Dic3—61no—
312C22×Dic3—61no—
313#239—22no—
314#239—22no—
315C2×D12—21no—
316C2×D12—21no—
317C2×D12C22×D311yescharacteristic
318C2×D12C22×D311yescharacteristic
319C2×D12C22×D311yescharacteristic
320C2×C4×D3—21no—
321C2×C4×D3—21no—
322C2×C4×D3—61no—
323C2×C4×D3—61no—
324C2×C4×D3—61no—
325C2×C4×D3—61no—
326C2×C4×D3C22×D311yescharacteristic
327C3×SD16—62no—
328C3×SD16—62no—
329C3×D8—62no—
330C2×C3×C8—21no—
331C2×C3×C8—31no—
332C2×C3×C8—31no—
333C2×C3×C8C22×D311yescharacteristic
334C2×C3×C8C22×D311yescharacteristic
335C3×C4⋊C4—21no—
336C3×C4⋊C4—31no—
337C3×C4⋊C4—61no—
338C3×C4⋊C4C22×D311yescharacteristic
339C3×C4⋊C4C22×D311yescharacteristic
340C3×C22⋊C4—61no—
341C3×C22⋊C4—61no—
342C3×C42—31no—
343C3×C42—61no—
344#217—31no—
345#217—31no—
346#217—61no—
347#217—61no—
348#217—61no—
349#217—61no—
350#215—22no—
351#215—22no—
352#213—62no—
353#213—62no—
354(C2×D3)⋊C4—21no—
355(C2×D3)⋊C4—21no—
356(C2×D3)⋊C4—31no—
357(C2×D3)⋊C4—31no—
358(C2×D3)⋊C4—61no—
359(C2×D3)⋊C4—61no—
360(C2×D3)⋊C4—61no—
361(C2×D3)⋊C4—61no—
362C4⋊Dic3—21no—
363C4⋊Dic3—31no—
364C4⋊Dic3—31no—
365C4⋊Dic3—31no—
366C4⋊Dic3—31no—
367C4⋊Dic3—31no—
368C4⋊Dic3—31no—
369C4⋊Dic3—61no—
370C4⋊Dic3—61no—
371C4⋊Dic3—61no—
372C4⋊Dic3—61no—
373C4⋊Dic3—61no—
374C4⋊Dic3—61no—
375C4⋊Dic3—61no—
376C4⋊Dic3—121no—
377C4⋊Dic3—121no—
378C4⋊Dic3C22×D311yescharacteristic
379Dic3⋊C4—31no—
380Dic3⋊C4—31no—
381Dic3⋊C4—61no—
382Dic3⋊C4—61no—
383Dic3⋊C4—61no—
384Dic3⋊C4—121no—
385C4×Dic3—21no—
386C4×Dic3—31no—
387C4×Dic3—31no—
388C4×Dic3—61no—
389C4×Dic3—61no—
390C4×Dic3—61no—
391C4×Dic3—121no—
392C4×Dic3C22×D311yescharacteristic
393C2×C3⋊C8—31no—
394C2×C3⋊C8—31no—
395C2×C3⋊C8—61no—
396C2×C3⋊C8C22×D311yescharacteristic
397C2×C3⋊C8C22×D311yescharacteristic
398D24—22no—
399C22×C32C22×D411yescharacteristic
400C2×C3×D3—21no—
401C2×C3×D3—22no—
402C2×C3×D3—21no—
403C2×C3×D3—21no—
404C2×C3×D3—41no—
405C2×C3×D3—41no—
406C2×C3×D3—41no—
407C2×C3×D3—41no—
408C2×C3×D3—41no—
409C2×C3×D3—41no—
410C2×C3×D3—41no—
411C2×C3×D3—41no—
412C32×C4—22no—
413C32×C4—41no—
414C32×C4C2×#4111yescharacteristic
415C32×C4C2×#4111yescharacteristic
416C3⋊Dic3—21no—
417C3⋊Dic3—21no—
418C3⋊Dic3—41no—
419C3⋊Dic3—41no—
420C3×Dic3—21no—
421C3×Dic3—21no—
422C3×Dic3—21no—
423C3×Dic3—41no—
424C2×#41—31no—
425C2×SD16—31no—
426C2×SD16—31no—
427C2×D8—31no—
428C2×D8—91no—
429#127—91no—
430#125—91no—
431#123—181no—
432#123—181no—
433#121—31no—
434#121—91no—
435#121—181no—
436#121—181no—
437C4×Q8—31no—
438C4×Q8—91no—
439C4×D4—31no—
440C4×D4—91no—
441C4×D4—91no—
442C4×D4—91no—
443C4×D4—181no—
444C4×D4—181no—
445#117—91no—
446#117—181no—
447C2×C4⋊C4—91no—
448C2×C4⋊C4—181no—
449#107—91no—
450#107—91no—
451#106—31no—
452#106—91no—
453C4⋊C8—91no—
454C4⋊C8—91no—
455#103—91no—
456#103D3211yescharacteristic
457#102—31no—
458#102—31no—
459#102—91no—
460#102—91no—
461#102—91no—
462#102—91no—
463C22⋊C8—31no—
464C22⋊C8—91no—
465#97—91no—
466C4×C8—31no—
467C23×C3—31no—
468C23×C3—61no—
469C23×C3—61no—
470C23×C3—61no—
471C22×D3—21no—
472C22×D3—21no—
473C22×D3—21no—
474C22×D3D3×D411yescharacteristic
475C3×Q8—21no—
476C3×Q8—21no—
477C3×Q8—22no—
478C3×Q8—41no—
479C3×Q8#23512yes—
480C3×Q8#23712yes—
481C3×D4—32no—
482C3×D4—64no—
483C3×D4—61no—
484C3×D4—61no—
485C3×D4—61no—
486C3×D4—61no—
487C3×D4—61no—
488C3×D4—241no—
489C2×C3×C4—21no—
490C2×C3×C4—21no—
491C2×C3×C4—21no—
492C2×C3×C4—21no—
493C2×C3×C4—21no—
494C2×C3×C4—31no—
495C2×C3×C4—31no—
496C2×C3×C4—31no—
497C2×C3×C4—41no—
498C2×C3×C4—41no—
499C2×C3×C4—64no—
500C2×C3×C4—61no—
501C2×C3×C4—61no—
502C2×C3×C4—61no—
503C2×C3×C4—241no—
504C2×C3×C4C23×D311yescharacteristic
505C2×C3×C4C23×D311yescharacteristic
506#67—241no—
507#67—241no—
508#67—241no—
509#67—241no—
510#67—241no—
511#67—241no—
512C2×Dic3—21no—
513C2×Dic3—31no—
514C2×Dic3—31no—
515C2×Dic3—31no—
516C2×Dic3—31no—
517C2×Dic3—61no—
518C2×Dic3—61no—
519C2×Dic3—61no—
520C2×Dic3—61no—
521C2×Dic3—61no—
522C2×Dic3—61no—
523C2×Dic3—121no—
524C2×Dic3—121no—
525C2×Dic3—241no—
526C2×Dic3—241no—
527C2×Dic3—241no—
528C2×Dic3—241no—
529C2×Dic3D3×D411yescharacteristic
530C2×Dic3D3×D411yescharacteristic
531C2×Dic3D3×D411yescharacteristic
532D12—24no—
533D12—21no—
534D12—21no—
535D12—21no—
536D12—21no—
537D12—21no—
538D12—81no—
539D12#23712yes—
540C4×D3—24no—
541C4×D3—21no—
542C4×D3—21no—
543C4×D3—81no—
544C4×D3—241no—
545C4×D3—241no—
546C4×D3—241no—
547C4×D3—241no—
548C3×C8—21no—
549C3×C8—21no—
550C3×C8—41no—
551C3×C8—61no—
552C3×C8—61no—
553C3⋊C8—21no—
554C3⋊C8—21no—
555C3⋊C8—61no—
556C3⋊C8—61no—
557C3⋊C8—121no—
558C2×C32#52511yescharacteristic
559C2×C32#57611yescharacteristic
560C2×C32#57711yescharacteristic
561C3×D3—41no—
562C3×D3—42no—
563C3×D3—81no—
564C3×D3—81no—
565#41—62no—
566#41—62no—
567C2×Q8C2×D3211yescharacteristic
568C2×D4—31no—
569C2×D4—31no—
570C2×D4—31no—
571C2×D4—61no—
572C2×D4—61no—
573C2×D4—181no—
574C2×D4—181no—
575C2×D4—181no—
576C22×C4—31no—
577C22×C4—61no—
578C22×C4—61no—
579C22×C4—181no—
580C22×C4—181no—
581C22×C4—181no—
582C22×C4—181no—
583SD16—62no—
584SD16—62no—
585D8—62no—
586D8—182no—
587C2×C8—31no—
588C2×C8—31no—
589C2×C8—91no—
590C2×C8C2×D3211yescharacteristic
591C4⋊C4—31no—
592C4⋊C4—61no—
593C4⋊C4—91no—
594C4⋊C4—91no—
595C4⋊C4—91no—
596C4⋊C4—91no—
597C4⋊C4—181no—
598C4⋊C4—181no—
599C4⋊C4—181no—
600C4⋊C4—181no—
601C4⋊C4C2×D3211yescharacteristic
602C22⋊C4—61no—
603C22⋊C4—61no—
604C22⋊C4—91no—
605C22⋊C4—91no—
606C22⋊C4—181no—
607C22⋊C4—181no—
608C22⋊C4—181no—
609C22⋊C4—181no—
610C42—31no—
611C42—61no—
612C42—91no—
613C42—181no—
614C22×C3—21no—
615C22×C3—61no—
616C22×C3—61no—
617C22×C3—62no—
618C22×C3—61no—
619C22×C3—121no—
620C22×C3—121no—
621C22×C3—121no—
622C22×C3—121no—
623C22×C3—121no—
624C22×C3—121no—
625C22×C3—121no—
626C22×C3—121no—
627C22×C3C2×D3×D411yescharacteristic
628C22×C3C2×D3×D411yescharacteristic
629C2×D3—21no—
630C2×D3—21no—
631C2×D3—21no—
632C2×D3—22no—
633C2×D3—41no—
634C2×D3—41no—
635C2×D3—41no—
636C2×D3—41no—
637C2×D3—41no—
638C2×D3—41no—
639C2×D3—41no—
640C2×D3—41no—
641C3×C4—22no—
642C3×C4—22no—
643C3×C4—21no—
644C3×C4—21no—
645C3×C4—42no—
646C3×C4—41no—
647C3×C4—41no—
648C3×C4—61no—
649C3×C4—61no—
650C3×C4—61no—
651C3×C4—81no—
652C3×C4—121no—
653C3×C4C2×#23511yescharacteristic
654C3×C4C2×#23711yescharacteristic
655C3×C4C2×#23711yescharacteristic
656C3×C4D3×#4111yescharacteristic
657Dic3—21no—
658Dic3—21no—
659Dic3—21no—
660Dic3—41no—
661Dic3—61no—
662Dic3—61no—
663Dic3—61no—
664Dic3—61no—
665Dic3—121no—
666Dic3—121no—
667Dic3—121no—
668Dic3—121no—
669Dic3—121no—
670Dic3—121no—
671Dic3—241no—
672Dic3—241no—
673C32#311911yescharacteristic, complemented, Sylow
674C23—31no—
675C23—61no—
676C23—61no—
677C23—61no—
678Q8—21no—
679Q8#379512yes—
680D4—32no—
681D4—64no—
682D4—61no—
683D4—61no—
684D4—61no—
685D4—61no—
686D4—61no—
687D4—241no—
688D4—721no—
689D4—721no—
690D4—721no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—31no—
694C2×C4—31no—
695C2×C4—31no—
696C2×C4—64no—
697C2×C4—61no—
698C2×C4—61no—
699C2×C4—61no—
700C2×C4—91no—
701C2×C4—91no—
702C2×C4—181no—
703C2×C4—181no—
704C2×C4—241no—
705C2×C4—721no—
706C2×C4—721no—
707C2×C4—721no—
708C2×C4—721no—
709C2×C4C22×D3211yescharacteristic
710C8—21no—
711C8—61no—
712C8—61no—
713C8—181no—
714C2×C3—21no—
715C2×C3—21no—
716C2×C3—21no—
717C2×C3—121no—
718C2×C3—122no—
719C2×C3—241no—
720C2×C3—241no—
721C2×C3#554711yescharacteristic
722C2×C3#558611yescharacteristic
723C2×C3#576211yescharacteristic
724C2×C3#576911yescharacteristic
725C2×C3#576911yescharacteristic
726C2×C3#577511yescharacteristic
727D3—41no—
728D3—42no—
729D3—81no—
730D3—81no—
731C22—62no—
732C22—61no—
733C22—61no—
734C22—61no—
735C22—121no—
736C22—121no—
737C22—121no—
738C22—121no—
739C22—121no—
740C22—121no—
741C22—121no—
742C22—121no—
743C22D32×D411yescharacteristic
744C4—22no—
745C4—41no—
746C4—61no—
747C4—61no—
748C4—61no—
749C4—121no—
750C4—181no—
751C4—181no—
752C4—361no—
753C4—361no—
754C4C2×#379511yescharacteristic
755C4D3×#23711yescharacteristic
756C3—21no—
757C3#7969711yescharacteristic, complemented
758C3#8007211yescharacteristic, complemented
759C2—121no—
760C2—122no—
761C2—241no—
762C2—241no—
763C2#1059405411yescharacteristic
764C2#1059474911yescharacteristic
765C2#1059477111yescharacteristic
subgroupG/H
centerC22D32×D4
commutator, cosocleC2×C32×C4C24
FrattiniC2×C4C22×D32
FittingC32×#103C22
socleC22×C32C22×D4
hypercenter#103D32
hypocenterC32#3119
LCSG ▷ C2×C32×C4 ▷ C2×C32 ▷ C32
UCSC1 ◁ C22 ◁ C2×C4 ◁ #103

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #10595394C2semidirect
2. #10594496C2semidirect
3. #10592495C2semidirect
4. C3×#4810C2semidirect
5. C3×#4788C2semidirect
6. #10591622C2semidirect
7. #10591586C2semidirect
8. #10591566C2semidirect
9. Dic3×D24C2semidirect
10. #10590749C2semidirect
11. #10590696C2semidirect
12. #10590680C2semidirect
13. #10590474C2semidirect
14. #10590455C2semidirect
15. #10590441C2semidirect
79. #4810D3semidirect
83. #4788D3semidirect
673. C32#3119semidirect
757. C3#79697semidirect
758. C3#80072semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#105953942
#105944962
#105924952
C3×#48102
C3×#47882
#105916222
#105915862
#105915662
Dic3×D242
#105907492
#105906962
#105906802
#105904742
#105904552
#105904412
#800723
#796973